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Duality, Mechanical Wave Theory, New Quantum Operators and Nonlinear Equations in Quantum Theory

2010/08/17 by Yi‐Fang Chang, Yi-Fang Chang, Chang, Yi-Fang
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1008.2802

13 pages

arxiv created 2010/08/17 · openalex publication_date 2010/08/17 · arxiv updated 2010/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Various dualities are summarized. Based on the universal wave-particle duality, along an opposite direction of the developed quantum mechanics, we use a method where the wave quantities frequency and wave length are replaced on various mechanical equations, and may be derive some new results. It is called the mechanical wave theory. From this we derive new operators which represent more physical quantities. Further, we propose some nonlinear equations and their solutions, which may be probably applied to quantum theory.

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